Tomographic reconstruction for impenetrable objects
Abstract
A practical technique is presented for finding the shape of a smooth, reflecting, convex object from its scattered field. The method assumes the field on the surface of the object satisfies Dirichlet boundary conditions. A surface identifier is computed from the T-matrix of the scatterer, which in turn, is found from data recorded on a surface surrounding the object. The study is restricted to two dimensional objects and the scalar wave equation, but the methods will readily extend, for example, to three dimensions or electromagnetic waves.
- Publication:
-
Inverse optics II
- Pub Date:
- 1985
- DOI:
- 10.1117/12.949564
- Bibcode:
- 1985SPIE..558....3L
- Keywords:
-
- Dirichlet Problem;
- Holography;
- Image Reconstruction;
- Shapes;
- Tomography;
- Two Dimensional Bodies;
- Convexity;
- Electromagnetic Radiation;
- Green'S Functions;
- Helmholtz Equations;
- Matrices (Mathematics);
- Three Dimensional Bodies;
- Wave Equations;
- Wave Scattering;
- Instrumentation and Photography